Nucleons at finite temperature and low density in Faddeev equation approach

Abstract

We study some properties of nucleons with a simplified version of a Faddeev equation at finite temperature and baryon chemical potential in the framework of the Nambu--Jona-Lasinio model. By taking diquark-quark bubble summation, we constructed the nucleon propagator and calculated the dynamical masses of the diquark and the nucleon in the pole approximation. We show that diquarks can survive as resonant states in the chiral symmetry restored phase at high temperature, and that nucleons are restricted in the chiral symmetry broken phase at low temperature. The phase diagram of the strongly interacting matter is then given.